Question 56 income and capital returns, bond pricing, premium par and discount bonds
Which of the following statements about risk free government bonds is NOT correct?
Hint: Total return can be broken into income and capital returns as follows:
###\begin{aligned} r_\text{total} &= \frac{c_1}{p_0} + \frac{p_1-p_0}{p_0} \\ &= r_\text{income} + r_\text{capital} \end{aligned} ###
The capital return is the growth rate of the price.
The income return is the periodic cash flow. For a bond this is the coupon payment.
Portfolio Details | ||||||
Stock | Expected return |
Standard deviation |
Correlation ##(\rho_{A,B})## | Dollars invested |
||
A | 0.1 | 0.4 | 0.5 | 60 | ||
B | 0.2 | 0.6 | 140 | |||
What is the standard deviation (not variance) of returns of the above portfolio?
Which of the below statements about effective rates and annualised percentage rates (APR's) is NOT correct?
A fairly priced stock has an expected return equal to the market's. Treasury bonds yield 5% pa and the market portfolio's expected return is 10% pa. What is the stock's beta?
Question 353 income and capital returns, inflation, real and nominal returns and cash flows, real estate
A residential investment property has an expected nominal total return of 6% pa and nominal capital return of 3% pa.
Inflation is expected to be 2% pa. All rates are given as effective annual rates.
What are the property's expected real total, capital and income returns? The answer choices below are given in the same order.
Which of the following statements about call options is NOT correct?
Question 876 foreign exchange rate, forward foreign exchange rate, cross currency interest rate parity
Suppose the yield curve in the USA and Germany is flat and the:
- USD federal funds rate at the Federal Reserve is 1% pa;
- EUR deposit facility at the European Central Bank is -0.4% pa (note the negative sign);
- Spot EUR exchange rate is 1 USD per EUR;
- One year forward EUR exchange rate is 1.011 USD per EUR.
You suspect that there’s an arbitrage opportunity. Which one of the following statements about the potential arbitrage opportunity is NOT correct?
Question 956 option, Black-Scholes-Merton option pricing, delta hedging, hedging
A bank sells a European call option on a non-dividend paying stock and delta hedges on a daily basis. Below is the result of their hedging, with columns representing consecutive days. Assume that there are 365 days per year and interest is paid daily in arrears.
Delta Hedging a Short Call using Stocks and Debt | |||||||
Description | Symbol | Days to maturity (T in days) | |||||
60 | 59 | 58 | 57 | 56 | 55 | ||
Spot price ($) | S | 10000 | 10125 | 9800 | 9675 | 10000 | 10000 |
Strike price ($) | K | 10000 | 10000 | 10000 | 10000 | 10000 | 10000 |
Risk free cont. comp. rate (pa) | r | 0.05 | 0.05 | 0.05 | 0.05 | 0.05 | 0.05 |
Standard deviation of the stock's cont. comp. returns (pa) | σ | 0.4 | 0.4 | 0.4 | 0.4 | 0.4 | 0.4 |
Option maturity (years) | T | 0.164384 | 0.161644 | 0.158904 | 0.156164 | 0.153425 | 0.150685 |
Delta | N[d1] = dc/dS | 0.552416 | 0.582351 | 0.501138 | 0.467885 | 0.550649 | 0.550197 |
Probability that S > K at maturity in risk neutral world | N[d2] | 0.487871 | 0.51878 | 0.437781 | 0.405685 | 0.488282 | 0.488387 |
Call option price ($) | c | 685.391158 | 750.26411 | 567.990995 | 501.487157 | 660.982878 | ? |
Stock investment value ($) | N[d1]*S | 5524.164129 | 5896.301781 | 4911.152036 | 4526.788065 | 5506.488143 | ? |
Borrowing which partly funds stock investment ($) | N[d2]*K/e^(r*T) | 4838.772971 | 5146.037671 | 4343.161041 | 4025.300909 | 4845.505265 | ? |
Interest expense from borrowing paid in arrears ($) | r*N[d2]*K/e^(r*T) | 0.662891 | 0.704985 | 0.594994 | 0.551449 | ? | |
Gain on stock ($) | N[d1]*(SNew - SOld) | 69.052052 | -189.264008 | -62.642245 | 152.062648 | ? | |
Gain on short call option ($) | -1*(cNew - cOld) | -64.872952 | 182.273114 | 66.503839 | -159.495721 | ? | |
Net gain ($) | Gains - InterestExpense | 3.516209 | -7.695878 | 3.266599 | -7.984522 | ? | |
Gamma | Γ = d^2c/dS^2 | 0.000244 | 0.00024 | 0.000255 | 0.00026 | 0.000253 | 0.000255 |
Theta | θ = dc/dT | 2196.873429 | 2227.881353 | 2182.174706 | 2151.539751 | 2266.589184 | 2285.1895 |
In the last column when there are 55 days left to maturity there are missing values. Which of the following statements about those missing values is NOT correct?
Question 983 corporate financial decision theory, DuPont formula, accounting ratio
A company manager is thinking about the firm's book assets-to-equity ratio, also called the 'equity multiplier' in the DuPont formula:
###\text{Equity multiplier} = \dfrac{\text{Total Assets}}{\text{Owners' Equity}}###What's the name of the decision that the manager is thinking about? In other words, the assets-to-equity ratio is the main subject of what decision?
Note: DuPont formula for analysing book return on equity:
###\begin{aligned} \text{ROE} &= \dfrac{\text{Net Profit}}{\text{Sales}} \times \dfrac{\text{Sales}}{\text{Total Assets}} \times \dfrac{\text{Total Assets}}{\text{Owners' Equity}} \\ &= \text{Net profit margin} \times \text{Total asset turnover} \times \text{Equity multiplier} \\ \end{aligned}###